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23014404 = 22327271337
BaseRepresentation
bin101011111001…
…0110000000100
31121022020211100
41113302300010
521342430104
62141140100
7366422250
oct127626004
947266740
1023014404
1111a9a076
12785a630
1349ca4ba
1430b1260
152049139
hex15f2c04

23014404 has 72 divisors (see below), whose sum is σ = 66929408. Its totient is φ = 6531840.

The previous prime is 23014399. The next prime is 23014427. The reversal of 23014404 is 40441032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68124 + ... + 68460.

Almost surely, 223014404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23014404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33464704).

23014404 is an abundant number, since it is smaller than the sum of its proper divisors (43915004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23014404 is a wasteful number, since it uses less digits than its factorization.

23014404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23014404 is about 4797.3330090791. Note that the first 3 decimals coincide. The cubic root of 23014404 is about 284.4460523500.

Adding to 23014404 its reverse (40441032), we get a palindrome (63455436).

The spelling of 23014404 in words is "twenty-three million, fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 337 542 674 813 1011 1084 1348 1626 1897 2022 2359 2439 3033 3252 3794 4044 4718 4878 5691 6066 7077 7588 9436 9756 11382 12132 14154 17073 21231 22764 28308 34146 42462 68292 84924 91327 182654 273981 365308 547962 639289 821943 1095924 1278578 1643886 1917867 2557156 3287772 3835734 5753601 7671468 11507202 23014404